Online GCD Calculator is useful to find the GCD of 180, 524, 136, 212 quickly. Get the easiest ways to solve the greatest common divisor of 180, 524, 136, 212 i.e 4 in different methods as follows.
Given Input numbers are 180, 524, 136, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (180, 524, 136, 212) = 4.
Given numbers are 180, 524, 136, 212
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 524 are 2 x 2 x 131
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 22
Therefore, GCD of 180, 524, 136, 212 is 4.
Given numbers are 180, 524, 136, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 524) = 23580
GCD(180, 524) = ( 180 x 524 ) / 23580
= 180 / 524
= 180
Step2:
LCM(4, 136) = 136
GCD(4, 136) = ( 4 x 136 ) / 136
= 4 / 136
= 4
Step3:
LCM(4, 212) = 212
GCD(4, 212) = ( 4 x 212 ) / 212
= 4 / 212
= 4
So, Greatest Common Divisor of 180, 524, 136, 212 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 524, 136, 212
The greatest common divisor of numbers 180, 524, 136, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 524, 136, 212 is 4.
1. What is the GCD of 180, 524, 136, 212?
GCD of given numbers 180, 524, 136, 212 is 4
2. How to calculate the greatest common divisor of 180, 524, 136, 212?
We can find the highest common divisor of 180, 524, 136, 212 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 180, 524, 136, 212 i.e 4.
3. How can I use the GCD of 180, 524, 136, 212Calculator?
Out the numbers 180, 524, 136, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.